Question

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Part 1
You walk along the outside of a park starting at point P to point Q. Then you take a shortcut back to point​ P, represented by PQ overbar on the graph. Use the accompanying graph to answer parts a and b.
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Part 1
a. What is the length of the shortcut in​ miles?
The length of the shortcut is
  
enter your response here mi.
​(Round to the nearest tenth as​ needed.)

Answer 1

To find the length of the shortcut (denoted as \( \overline{PQ} \)), you'll need the coordinates of points \( P \) and \( Q \) on the graph. Here’s how you can calculate the distance between two points:

The distance formula is:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Where:
- \( (x_1, y_1) \) are the coordinates of point \( P \)
- \( (x_2, y_2) \) are the coordinates of point \( Q \)

Once you have the coordinates of \( P \) and \( Q \), plug them into the distance formula to find \( d \), and then round the result to the nearest tenth of a mile as needed.

If you provide the coordinates for points \( P \) and \( Q \), I can assist you in calculating the length of the shortcut.